Ten roses are arranged in two rows of five flowers each:

What is the minimum number of roses that need to be moved to arrange the flowers into five rows of four roses each?

Similar puzzle: Plant 9 trees in 10 rows of 3

  • $\begingroup$ Just to clarify, the rows cannot be collinear like the puzzle you posted in the link? $\endgroup$
    – Shuri2060
    Commented Mar 29, 2016 at 22:37
  • $\begingroup$ Yeah, someone should add that caveat. The original image already contains 10 unique rows of 4 roses each, leaving '0' as the correct answer. $\endgroup$
    – Roland
    Commented Mar 30, 2016 at 1:20

2 Answers 2


I can solve it by moving only

4 roses (I don't think we can do better)

My drawing :

enter image description here
enter image description here
in green the original roses, in red the new ones

  • $\begingroup$ I have not been able to find a way to use less than 4. Good going! $\endgroup$
    – Quiquȅ
    Commented Mar 30, 2016 at 2:11



As you can see, it is a (badly drawn) star, with 5 rows of 4 roses.

  • 2
    $\begingroup$ Why would you need to move 10 roses if there are 10? Surely one of them can stay put. And in your drawing 4 of them have actually not moved. $\endgroup$
    – Gendarme
    Commented Mar 29, 2016 at 23:05

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